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Terminal velocity and the densities of the sphere and the liquid

This type of question, asked 3 times: 10 May 2023 S1, 10 May 2023 S2, 15 May 2026 S1. All 3 questions below, oldest first.

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  1. Question 1

    10 May 2023 S1

    41
    A metal sphere of radius RR, density ρ1\rho_1 moves with terminal velocity V1V_1 through a liquid of density σ\sigma. Another sphere of same radius but density ρ2\rho_2 moves through same liquid. Its terminal velocity is V2V_2. The ratio V1:V2V_1:V_2 is

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  2. Question 2

    10 May 2023 S2

    25
    Two metal spheres are falling through a liquid of density 2.5×1032.5 \times 10^3 kg/m3^3 with the same uniform speed. The density of material of first sphere and second sphere is 11.5×10311.5 \times 10^3 kg/m3^3 and 8.5×1038.5 \times 10^3 kg/m3^3 respectively. The ratio of the radius of first sphere to that of second sphere is

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  3. Question 3

    15 May 2026 S1

    109
    If terminal speed of a sphere of gold (density = 19.5 kg/m319.5\ \mathrm{kg/m^3}) is 0.20.2 m/s in viscous liquid (density = 1.5 kg/m31.5\ \mathrm{kg/m^3}), find the terminal speed of a sphere of silver (density = 10.5 kg/m310.5\ \mathrm{kg/m^3}) of the same size in the same liquid.

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